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Finding the Third Proportional to 211,475 and 308,773

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Solution

The third proportional to 211,475 and 308,773 is: 450,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,475 : 308,773 = 308,773 : x
  2. Step 2: Convert to fraction form
    211,475/308,773 = 308,773/x
  3. Step 3: Cross multiply
    211,475x = 308,773 × 308,773
  4. Step 4: Simplify right side
    211,475x = 95,340,765,529
  5. Step 5: Solve for x
    x = 95,340,765,529/211,475
  6. Step 6: Final answer
    x = 450,837.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.